1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notka56 [123]
3 years ago
14

Add and turn to simplest form.

Mathematics
2 answers:
suter [353]3 years ago
6 0

Answer:

56

Step-by-step explanation:

vodomira [7]3 years ago
6 0

Answer:

The answer is

<h2>43 \sqrt{10}</h2>

Step-by-step explanation:

5 \sqrt{490}  + 4 \sqrt{40}

First of all we must make sure that the surds have equal roots

<u>For 5√490</u>

5 \sqrt{490}  = 5  \sqrt{49 \times 10 }  \\  = 5 \times  \sqrt{49}  \times  \sqrt{10}  \\  = 5 \times 7 \sqrt{10}  \\  = 35 \sqrt{10}

<u>For 4√40</u>

4 \sqrt{40}  = 4 \times  \sqrt{4  \times 10}  \\  = 4 \times  \sqrt{4}  \times  \sqrt{10}  \\  = 4 \times 2 \sqrt{10}  \\  = 8 \sqrt{10}

So we have

35 \sqrt{10}  + 8 \sqrt{10}

Using the rules of surds simplify the expression

That's

a \sqrt{x}  + b \sqrt{x}  = (a + b) \sqrt{x}

So we have

35 \sqrt{10}  + 8 \sqrt{10}  = (35 + 8) \sqrt{10}  \\

We have the final answer as

43 \sqrt{10}

Hope this helps you

You might be interested in
If you had 1052 toothpicks and were asked to group them in powers of 6, how many groups of each power of 6 would you have? Put t
sukhopar [10]

1052 toothpicks can be grouped into 4 groups of third power of 6 (6^{3}), 5 groups of second power of 6 (6^{2}), 1 group of first power of 6 (6^{1}) and 2 groups of zeroth power of 6 (6^{0}).

The number 1052, written as a base 6 number is 4512

Given: 1052 toothpicks

To do: The objective is to group the toothpicks in powers of 6 and to write the number 1052 as a base 6 number

First we note that, 6^{0}=1,6^{1}=6,6^{2}=36,6^{3}=216,6^{4}=1296

This implies that 6^{4} exceeds 1052 and thus the highest power of 6 that the toothpicks can be grouped into is 3.

Now, 6^{3}=216 and 216\times 5=1080, 216\times 4=864. This implies that 216\times 5 exceeds 1052 and thus there can be at most 4 groups of 6^{3}.

Then,

1052-4\times6^{3}

1052-4\times216

1052-864

188

So, after grouping the toothpicks into 4 groups of third power of 6, there are 188 toothpicks remaining.

Now, 6^{2}=36 and 36\times 5=180, 36\times 6=216. This implies that 36\times 6 exceeds 188 and thus there can be at most 5 groups of 6^{2}.

Then,

188-5\times6^{2}

188-5\times36

188-180

8

So, after grouping the remaining toothpicks into 5 groups of second power of 6, there are 8 toothpicks remaining.

Now, 6^{1}=6 and 6\times 1=6, 6\times 2=12. This implies that 6\times 2 exceeds 8 and thus there can be at most 1 group of 6^{1}.

Then,

8-1\times6^{1}

8-1\times6

8-6

2

So, after grouping the remaining toothpicks into 1 group of first power of 6, there are 2 toothpicks remaining.

Now, 6^{0}=1 and 1\times 2=2. This implies that the remaining toothpicks can be exactly grouped into 2 groups of zeroth power of 6.

This concludes the grouping.

Thus, it was obtained that 1052 toothpicks can be grouped into 4 groups of third power of 6 (6^{3}), 5 groups of second power of 6 (6^{2}), 1 group of first power of 6 (6^{1}) and 2 groups of zeroth power of 6 (6^{0}).

Then,

1052=4\times6^{3}+5\times6^{2}+1\times6^{1}+2\times6^{0}

So, the number 1052, written as a base 6 number is 4512.

Learn more about change of base of numbers here:

brainly.com/question/14291917

6 0
2 years ago
• Solve the application problem.
musickatia [10]
Not sure what the length of the rectangle is but to find perimeter of a rectangle you can use the following formula

2w+2l= perimeter

The reason we multiply both the length and width by two is because there are two ends of the width and two ends of the length.

The other formula that would also work is as follows

w+w+l+l= perimeter


Hope it helps
3 0
3 years ago
The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from
erastovalidia [21]

Answer:

17600 people.

Step-by-step explanation:

Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.

The area of the parade route will be

5280 × 10 = 52800 ft^2

If the average person takes up 3 square feet of space, then, divide the area by 3. That is,

52800 / 3 = 17600 people.

Therefore, the estimate for the number of people who can attend the parade will be 17600 people.

7 0
3 years ago
you buy 75 candy bars at a cost of $0.49 each what is the total cost of 75 candy bars? use mental math
avanturin [10]

It took me a second but its $36.75

7 0
3 years ago
Read 2 more answers
The side of a square is 2 7/2 inches. Using the area formula A = s2, determine the area of the square.
o-na [289]
<span>the answer A=49 square inches</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • 678 rounded to the nearest hundred
    12·2 answers
  • How do I turn this vertex form -2(x-0)^2 + 18 in to a standard form
    12·1 answer
  • true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
    15·2 answers
  • Isolate the variable to find the solution of the equation. 6.2w = 18.6 w = 3 w = 12.4 w = 24.8 w = 115.32
    12·2 answers
  • Linsay is designing a 5-foot-by-8-foot rectangular poster for her art class. She will cover both diagonals of the poster with st
    12·1 answer
  • . Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy wo
    9·1 answer
  • Need help with this question ​
    6·2 answers
  • WILL GIVE BRAINLIEST TO THE BEST ANSWER
    13·2 answers
  • Factor completely:<br><br> x³ - 9x
    5·2 answers
  • How many tens are in 1290
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!